Home / 564.19-1,210.22

Finding the Third Proportional to 564.19 and 1,210.22

Calculator

Solution

The third proportional to 564.19 and 1,210.22 is: 2,596.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 1,210.22 = 1,210.22 : x
  2. Step 2: Convert to fraction form
    564.19/1,210.22 = 1,210.22/x
  3. Step 3: Cross multiply
    564.19x = 1,210.22 × 1,210.22
  4. Step 4: Simplify right side
    564.19x = 1,464,629.42
  5. Step 5: Solve for x
    x = 1,464,629.42/564.19
  6. Step 6: Final answer
    x = 2,596.00

Related Problems

Find third proportional to 282.09 and 605.11
Half scale
Find third proportional to 1,128.38 and 2,420.44
Double scale
Find third proportional to 566 and 1,215
Similar ratio
Find third proportional to 846.28 and 1,815.33
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.